Numerical Treatment of Linear and Nonlinear Stellar Pulsations

The linear stability analysis of stellar models poses a linear fourth or sixth order boundary eigenvalue problem. Methods for its numerical solution are reviewed, most of which face severe problems, if the ratio of the thermal and dynamical timescale falls below unity for a significant fraction of t...

Descripción completa

Detalles Bibliográficos
Autor principal: Glatzel, Wolfgang
Formato: Objeto de conferencia
Lenguaje:Inglés
Publicado: 2019
Materias:
Ciencias Astronómicas
asteroseismology
hydrodynamics
methods: numerical
stars: mass loss
stars: oscillations
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/167721
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-167721
record_format dspace
spelling I19-R120-10915-1677212024-07-03T20:01:52Z http://sedici.unlp.edu.ar/handle/10915/167721 Numerical Treatment of Linear and Nonlinear Stellar Pulsations Glatzel, Wolfgang 2019-11 2021 2024-07-03T14:04:41Z en Ciencias Astronómicas asteroseismology hydrodynamics methods: numerical stars: mass loss stars: oscillations The linear stability analysis of stellar models poses a linear fourth or sixth order boundary eigenvalue problem. Methods for its numerical solution are reviewed, most of which face severe problems, if the ratio of the thermal and dynamical timescale falls below unity for a significant fraction of the stellar envelope considered. The extremely robust and highly accurate Riccati method is introduced and shown to be applicable to stellar stability problems with success even in these cases of strong deviations from adiabaticity. Numerical simulations of the evolution of a stellar instability into the nonlinear regime are still restricted to spherical geometry. We address the basic requirements for and problems connected with the simulation of radial pulsations. How violent artificial initial perturbations may be avoided and the extremely high accuracy requirements posed by the differences between the various energy forms can be met by strictly conservative numerical schemes is discussed. Facultad de Ciencias Astronómicas y Geofísicas Objeto de conferencia Objeto de conferencia http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf 87-104
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
asteroseismology
hydrodynamics
methods: numerical
stars: mass loss
stars: oscillations
spellingShingle Ciencias Astronómicas
asteroseismology
hydrodynamics
methods: numerical
stars: mass loss
stars: oscillations
Glatzel, Wolfgang
Numerical Treatment of Linear and Nonlinear Stellar Pulsations
topic_facet Ciencias Astronómicas
asteroseismology
hydrodynamics
methods: numerical
stars: mass loss
stars: oscillations
description The linear stability analysis of stellar models poses a linear fourth or sixth order boundary eigenvalue problem. Methods for its numerical solution are reviewed, most of which face severe problems, if the ratio of the thermal and dynamical timescale falls below unity for a significant fraction of the stellar envelope considered. The extremely robust and highly accurate Riccati method is introduced and shown to be applicable to stellar stability problems with success even in these cases of strong deviations from adiabaticity. Numerical simulations of the evolution of a stellar instability into the nonlinear regime are still restricted to spherical geometry. We address the basic requirements for and problems connected with the simulation of radial pulsations. How violent artificial initial perturbations may be avoided and the extremely high accuracy requirements posed by the differences between the various energy forms can be met by strictly conservative numerical schemes is discussed.
format Objeto de conferencia
Objeto de conferencia
author Glatzel, Wolfgang
author_facet Glatzel, Wolfgang
author_sort Glatzel, Wolfgang
title Numerical Treatment of Linear and Nonlinear Stellar Pulsations
title_short Numerical Treatment of Linear and Nonlinear Stellar Pulsations
title_full Numerical Treatment of Linear and Nonlinear Stellar Pulsations
title_fullStr Numerical Treatment of Linear and Nonlinear Stellar Pulsations
title_full_unstemmed Numerical Treatment of Linear and Nonlinear Stellar Pulsations
title_sort numerical treatment of linear and nonlinear stellar pulsations
publishDate 2019
url http://sedici.unlp.edu.ar/handle/10915/167721
work_keys_str_mv AT glatzelwolfgang numericaltreatmentoflinearandnonlinearstellarpulsations
_version_ 1807223553760690176

Ejemplares similares